What is (\partial)/(\partial x)(xy^2arctan(z)) ?

The answer to (\partial)/(\partial x)(xy^2arctan(z)) is y^2arctan(z)

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(\partial)/(\partial x)(xy^2arctan(z))

\frac{\partial}{\partial x} (x y^{2} arctan (z))

y^{2} arctan (z)

Solution steps

\frac{\partial}{\partial x} (x y^{2} arctan (z))

Treat

y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= y^{2} arctan (z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y^{2} arctan (z) \cdot 1

Simplify

= y^{2} arctan (z)

y^{^{''}} - 2 y - 3 y = 3 e^{2 x}

y = x^{7 x}

t^{3} e^{- 3 t}

x \to 0 lim (6^{x})

\frac{\partial}{\partial x} (x^{3} y^{7})

What is (\partial)/(\partial x)(xy^2arctan(z)) ?
The answer to (\partial)/(\partial x)(xy^2arctan(z)) is y^2arctan(z)